Legal/Government Services Legal/Government Services CITY OF PADUCAH City of Paducah Planning Dept……..callus:(270) 444-8648..Address:300 S 5th St, Paducah, KY 42003..websit:***** Paducah Housing Services………………callus:(270) 443-3634..Address:2330 Ohio St, Paducah, KY 42003..websit:paducahhousing.com MCCRACKEN COUNTY City of Paducah Planning Dept……..callus:(270) 444-8648..Address:300 S 5th St, Paducah, KY 42003..websit:***** Paducah Housing Services………………callus:(270) 443-3634..Address:2330 Ohio St, Paducah, KY 42003..websit:paducahhousing.com